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# Find the logarithm of $243$ to the base $3$

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e
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ln
log
log
lim
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sin
cos
tan
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sec
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asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

##  Final answer to the problem

$5$
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##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Write in simplest form
• Prime Factor Decomposition
• Solve by quadratic formula (general formula)
• Find the derivative using the definition
• Simplify
• Find the integral
• Find the derivative
• Factor
• Factor by completing the square
• Load more...
Can't find a method? Tell us so we can add it.
1

Decompose $243$ in it's prime factors

$\log_{3}\left(3^{5}\right)$
2

Use the following rule for logarithms: $\log_b(b^k)=k$

$5$

##  Final answer to the problem

$5$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

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Answer Assistant

Go!
1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

###  Main Topic: Evaluate Logarithms

Evaluate basic logarithmic expressions, knowing that $a^x=b$ is equal to $\log_a(b)=x$.

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